A method synthesis of selection function scalar convolutions for the multi-objective decision-making problems

Abstract

The statement of the estimation problem for selection functions and sought values in multi-objective problems is considered. The authors propose a method of synthesis of selection function scalar convolutions in multi-objective problems of mathematical model identification, optimization and decision-making. The types of scalar convolutions of selection functions have been obtained, which are specific to some practical problems of such kind. Application of the scalar convolutions as a tool for solution synthesis with the help of regularizing algorithms provides the stable effective estimates of values sought when data are a priori uncertain.